How closely does Date A Live follow the manga?

Yes, it does for the most part. But there are some minor differences to make it work better in the anime format.

Not exactly. There are some differences and adaptations to make it work for the live-action format.

It follows the manga quite closely. There are a few minor changes, but the main plot and characters are intact.

Overall, Boruto sticks quite closely to the manga. Some episodes might have additional filler content for pacing, but the main storylines are mostly in line. The character developments and major events are accurately represented.

It follows quite closely. Most of the key plot points and character developments are consistent.

Magi is pretty faithful to the manga. It manages to capture the essence and charm of the original. Some minor details might be changed for visual or pacing reasons, but it doesn't significantly deviate from the manga's storyline.

Nana follows the manga quite closely. The story arcs and character traits are maintained, although there could be some slight differences in the presentation to suit the medium of animation or for creative purposes.

Not really. There are quite a few differences between Excarina and the manga.

It follows to a considerable extent. But there are still some differences, especially in the details and pacing.

It follows quite closely. The anime of No.6 mostly adheres to the manga plot, with just a few minor differences that don't significantly change the main story.